1064627712 has 240 divisors, whose sum is σ = 3276873600. Its totient is φ = 344881152.

The previous prime is 1064627687. The next prime is 1064627713. The reversal of 1064627712 is 2177264601.

1064627712 is a `hidden beast` number, since 1 + 0 + 646 + 2 + 7 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×1064627712² = 2266864330316709888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064627713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349789 + ... + 5349987.

It is an arithmetic number, because the mean of its divisors is an integer number (13653640).

Almost surely, 2^1064627712 is an apocalyptic number.

1064627712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638436800).

1064627712 is an abundant number, since it is smaller than the sum of its proper divisors (2212245888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064627712 is an frugal number, since it uses more digits than its factorization.

1064627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1064627712 is about 32628.6333149275. The cubic root of 1064627712 is about 1021.0944653513.

The spelling of 1064627712 in words is "one billion, sixty-four million, six hundred twenty-seven thousand, seven hundred twelve".